Qingsong Gu

activity

20162026

most citedLipschitz invariance of walk dimension on connected self-similar sets

3 citations · 4 across the 11 of their papers we have counts for

collaborators

Showing math.FAShow all

6 papers · 1 filter

math.FA2025

BGD domains in p.c.f. self-similar sets II: spectral asymptotics for Laplacians

Qingsong Gu, Hua Qiu

Let $K$ be a p.c.f. self-similar set equipped with a strongly recurrent Dirichlet form. Under a homogeneity assumption, for an open set $Ω \subset K$ whose boundary $\partial Ω$ is…

math.FA2024

BGD domains in p.c.f. self-similar sets I: boundary value problems for harmonic functions

Qingsong Gu, Hua Qiu

We study the boundary value problems for harmonic functions on open connected subsets of post-critically finite (p.c.f.) self-similar sets, on which the Laplacian is defined throug…

math.FA2021

$p$ -energies on p.c.f. self-similar sets

Shiping Cao, Qingsong Gu, Hua Qiu

We study $p$ -energies on post critically finite (p.c.f.) self-similar sets for $1 < p < \infty$ , as limits of discrete $p$ -energies on approximation graphs, extending the construction…

math.FA2018

Metrics on the Sierpinski carpet by weight functions

Qingsong Gu, Hua Qiu, Huo-Jun Ruan

We construct certain metrics on the Sierpinski carpet via a class of self-similar weight functions. Using these metrics and by applying known results, we obtain the two-sided sub-G…

math.FA2017★ 1 cited

On a recursive construction of Dirichlet form on the Sierpiński gasket

Qingsong Gu, Ka-Sing Lau, Hua Qiu

Let $Γ_{n}$ denote the $n$ -th level Sierpiński graph of the Sierpiński gasket $K$ . We consider, for any given conductance $(a_{0}, b_{0}, c_{0})$ on $Γ_{0}$ , the Dirchlet form $E$ …

math.FA2017

Dirichlet forms and critical exponents on fractals

Qingsong Gu, Ka-Sing Lau

Let $B_{2, \infty}^{σ}$ denote the Besov space defined on a compact set $K \subset R^{d}$ which is equipped with an $α$ -regular measure $μ$ . The {\it critical exponent} $σ^{*}$ is…